Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results
نویسندگان
چکیده
منابع مشابه
Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results
In a companion paper [8], we propose a new multilevel solver for two-dimensional elliptic systems of partial differential equations (PDEs) with nonlinearity of type u∂v. The approach is based on a multilevel projection method (PML [9]) applied to a first-order system least-squares (FOSLS) functional that allows us to treat the nonlinearity directly. While [8] focuses on computation, here we con...
متن کاملProjection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results
The goal of this paper is to introduce a new multilevel solver for two-dimensional elliptic systems of nonlinear partial differential equations (PDEs), where the nonlinearity is of the type u∂v. The incompressible Navier-Stokes equations are an important representative of this class and are the target of this study. Using a first-order system least-squares (FOSLS) approach and introducing a new...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Existence Results for a Dirichlet Quasilinear Elliptic Problem
In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.
متن کاملFinite element methods for semilinear elliptic stochastic partial differential equations
We study finite element methods for semilinear stochastic partial differential equations. Error estimates are established. Numerical examples are also presented to examine our theoretical results. Mathematics Subject Classification (2000) 65N30 · 65N15 · 65C30 · 60H15
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2006
ISSN: 0036-1429,1095-7170
DOI: 10.1137/040617704